What is $$a^m \times a^n$$ ?

$$a^{m+n}$$ (When multiplying two powers with the same base, add the exponents.)

What is $$a^m \times b^m$$ ?

$$(ab)^m$$ (When multiplying two different bases with the same exponent, multiply the bases and keep the exponent.)

What is $$\frac{a^m}{a^n}$$ ?

$$a^{m-n}$$ (When dividing two powers with the same base, subtract the exponents.)

What is $$(a^m)^n$$ ?

$$a^{mn}$$ (When raising a power to another power, multiply the exponents.)

$$\frac{1}{a^n}$$ (A negative exponent indicates the reciprocal of the base raised to the opposite positive exponent.)

What is $$\frac{5x^{-4}}{x^{-9}}$$ ?

$$5x^5$$ (Use the law of exponents to simplify the expression.)

What is $$\frac{a^3}{b^5}$$ raised to the power of 4?

$$\frac{a^{12}}{b^{20}}$$ (Apply the power of a quotient rule.)

What is $$x^5 \times x^2$$ ?

$$x^7$$ (Add the exponents when multiplying like bases.)

What is $$y^3 \times y \times y^4$$ ?

$$y^8$$ (Add the exponents when multiplying like bases.)

What is $$p^2 \times (p^5)^2$$ ?

$$p^{12}$$ (Apply the power of a power rule.)

What does $$x^{-3}$$ represent?

$$\frac{1}{x^3}$$ (A negative exponent indicates the reciprocal.)

What is the result of $$\frac{a^m}{a^m}$$ ?

1 (Any non-zero number raised to the same exponent divided by itself equals one.)

$$x^n y^n$$ (Distributing the exponent to both bases.)

Law of Exponents Flashcards

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1.

FLASHCARD QUESTION

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What is the Law of Exponents?

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The Law of Exponents refers to the rules that govern the operations of powers or exponents, including multiplication, division, and raising powers to powers.

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CCSS.8.EE.A.1

2.

FLASHCARD QUESTION

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CCSS.8.EE.A.1

3.

FLASHCARD QUESTION

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CCSS.8.EE.A.1

4.

FLASHCARD QUESTION

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CCSS.8.EE.A.1

5.

FLASHCARD QUESTION

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CCSS.8.EE.A.1

6.

FLASHCARD QUESTION

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1 (Any non-zero number raised to the power of zero is equal to one.)

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7.

FLASHCARD QUESTION

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CCSS.8.EE.A.1

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